Elimination theory in codimension 2

DOI10.1006/jsco.2002.0545zbMath1013.14012arXivmath/0102204OpenAlexW1990105077MaRDI QIDQ1864880

Bernd Sturmfels, Alicia Dickenstein

Publication date: 23 March 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0102204

zbMATH Keywords

toric varietiesNewton polygonresultantsdiscriminantsChow forms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects of higher-dimensional varieties (14Q15) Parametrization (Chow and Hilbert schemes) (14C05) Low codimension problems in algebraic geometry (14M07)

Related Items

Non-splitting flags, iterated circuits, \(\underline{\sigma}\)-matrices and Cayley configurations, Symplectomorphism group relations and degenerations of Landau-Ginzburg models, Mixed discriminants, Counting solutions to binomial complete intersections, Discriminant coamoebas in dimension two, PROJECTIVE ℚ-FACTORIAL TORIC VARIETIES COVERED BY LINES, Polar degrees and closest points in codimension two, Algebro-geometric characterization of Cayley polytopes, Restriction of \(A\)-discriminants and dual defect toric varieties, Discriminant amoebas and lopsidedness, Tropical discriminants, Planar configurations of lattice vectors and GKZ-rational toric fourfolds in \(\mathbb P^6\), Bivariate hypergeometric \(D\)-modules, Complete intersections in toric ideals

Cites Work

• Constructions and complexity of secondary polytopes
• Syzygies of codimension 2 lattice ideals
• Product formulas for resultants and Chow forms
• Hypergeometric functions and toric varieties
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